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Finding the Fourth Proportional to 4,017.60, 5,984.28 and 3,828.06

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Solution

The fourth proportional to 4,017.60, 5,984.28 and 3,828.06 is: 5,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.60 : 5,984.28 = 3,828.06 : x
  2. Step 2: Convert to fraction form
    4,017.60/5,984.28 = 3,828.06/x
  3. Step 3: Cross multiply
    4,017.60x = 5,984.28 × 3,828.06
  4. Step 4: Simplify right side
    4,017.60x = 22,908,182.90
  5. Step 5: Solve for x
    x = 22,908,182.90/4,017.60
  6. Step 6: Final answer
    x = 5,701.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.